Abstract
A formalism is developed which effectively reduces the problem of evaluating the escape probability due to field-assisted tunnelling, of an electron with a given energy and a given wavevector parallel to the surface, to that of evaluating the reflection matrix for an electron with the same energy and wavevector incident on the metal surface from outside. The possibility then arises of using in field-emission calculations some of the approximate methods developed in relation to the theory of low-energy electron diffraction.
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